






import numpy as np


class 							__UpperCamelCase     :







	def __init__(	self   :				Optional[int]      )		->			Dict:
		"""simple docstring"""







		__lowercase   							=	(0, 0)
		__lowercase   							=	None
		__lowercase   							=	0
		__lowercase   							=	0
		__lowercase   							=	0







	def __eq__(	self   :				List[Any]							,					_lowerCAmelCase   :				Dict      )		->			Optional[Any]:
		"""simple docstring"""







		return self.position == cell.position







	def 			_a (	self   :				Any      )		->			Dict:
		"""simple docstring"""







		print(self.position      )


class 							__UpperCamelCase     :







	def __init__(	self   :				List[str]							,					_lowerCAmelCase   :				Any=(5, 5)      )		->			Union[str, Any]:
		"""simple docstring"""







		__lowercase   							=	np.zeros(_lowerCAmelCase      )
		__lowercase   							=	world_size[0]
		__lowercase   							=	world_size[1]







	def 			_a (	self   :				Tuple      )		->			Union[str, Any]:
		"""simple docstring"""







		print(self.w      )







	def 			_a (	self   :				Tuple							,					_lowerCAmelCase   :				Optional[int]      )		->			List[str]:
		"""simple docstring"""







		__lowercase   							=	[
		    (-1, -1),
		    (-1, 0),
		    (-1, 1),
		    (0, -1),
		    (0, 1),
		    (1, -1),
		    (1, 0),
		    (1, 1),
		]
		__lowercase   							=	cell.position[0]
		__lowercase   							=	cell.position[1]
		__lowercase   							=	[]
		for n in neughbour_cord:
			__lowercase   							=	current_x + n[0]
			__lowercase   							=	current_y + n[1]
			if 0 <= x < self.world_x_limit and 0 <= y < self.world_y_limit:
				__lowercase   							=	Cell()
				__lowercase   							=	(x, y)
				__lowercase   							=	cell
				neighbours.append(_lowerCAmelCase      )
		return neighbours





def 					snake_case	(  lowerCamelCase					,	lowerCamelCase					,	lowerCamelCase       ):




	'''simple docstring'''







	__lowercase   							=	[]
	__lowercase   							=	[]
	_open.append(lowerCamelCase       )

	while _open:
		__lowercase   							=	np.argmin([n.f for n in _open]       )
		__lowercase   							=	_open[min_f]
		_closed.append(_open.pop(lowerCamelCase       )       )
		if current == goal:
			break
		for n in world.get_neigbours(lowerCamelCase       ):
			for c in _closed:
				if c == n:
					continue
			__lowercase   							=	current.g + 1
			__lowercase							,    __lowercase   							=	n.position
			__lowercase							,    __lowercase   							=	goal.position
			__lowercase   							=	(ya - ya) ** 2 + (xa - xa) ** 2
			__lowercase   							=	n.h + n.g

			for c in _open:
				if c == n and c.f < n.f:
					continue
			_open.append(lowerCamelCase       )
	__lowercase   							=	[]
	while current.parent is not None:
		path.append(current.position       )
		__lowercase   							=	current.parent
	path.append(current.position       )
	return path[::-1]


if __name__ == "__main__":
						__UpperCamelCase   :   Any      =    Gridworld()
						# Start position and goal
						__UpperCamelCase   :   Any      =    Cell()
						__UpperCamelCase   :   List[str]      =    (0, 0)
						__UpperCamelCase   :   Optional[int]      =    Cell()
						__UpperCamelCase   :   str      =    (4, 4)
						print(F'''path from {start.position} to {goal.position}''')
						__UpperCamelCase   :   str      =    astar(world, start, goal)
						#   Just for visual reasons.
						for i in s:
												__UpperCamelCase   :   Any      =    1
						print(world.w)





'''simple docstring'''


import math







def      snake_case_  (    SCREAMING_SNAKE_CASE__	):







				"""simple docstring"""





				_SCREAMING_SNAKE_CASE					:			Tuple							= math.loga(math.sqrt(4 * positive_integer + 1	) / 2 + 1 / 2	)

				return exponent == int(SCREAMING_SNAKE_CASE__	)







def      snake_case_  (    SCREAMING_SNAKE_CASE__ = 1 / 1_2345	):







				"""simple docstring"""





				_SCREAMING_SNAKE_CASE					:			str							= 0
				_SCREAMING_SNAKE_CASE					:			str							= 0

				_SCREAMING_SNAKE_CASE					:			int							= 3
				while True:
								_SCREAMING_SNAKE_CASE					:			Optional[int]							= (integer**2 - 1) / 4
								# if candidate is an integer, then there is a partition for k
								if partition_candidate == int(SCREAMING_SNAKE_CASE__	):
												_SCREAMING_SNAKE_CASE					:			int							= int(SCREAMING_SNAKE_CASE__	)
												total_partitions += 1
												if check_partition_perfect(SCREAMING_SNAKE_CASE__	):
																perfect_partitions += 1
								if perfect_partitions > 0:
												if perfect_partitions / total_partitions < max_proportion:
																return int(SCREAMING_SNAKE_CASE__	)
								integer += 1


if __name__ == "__main__":
				print(F"{solution() = }")




